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46256128 = 21223491
BaseRepresentation
bin1011000001110…
…1000000000000
310020001001110221
42300131000000
543320144003
64331232424
71101112342
oct260350000
9106031427
1046256128
1124123a06
12135a8714
1397772b9
146201292
1540da7bd
hex2c1d000

46256128 has 52 divisors (see below), whose sum is σ = 96719328. Its totient is φ = 22077440.

The previous prime is 46256107. The next prime is 46256129. The reversal of 46256128 is 82165264.

It is a junction number, because it is equal to n+sod(n) for n = 46256093 and 46256102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46256129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93963 + ... + 94453.

Almost surely, 246256128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48359664).

46256128 is an abundant number, since it is smaller than the sum of its proper divisors (50463200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46256128 is an equidigital number, since it uses as much as digits as its factorization.

46256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 46256128 is about 6801.1857789653. The cubic root of 46256128 is about 358.9685703249.

The spelling of 46256128 in words is "forty-six million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 491 512 736 982 1024 1472 1964 2048 2944 3928 4096 5888 7856 11293 11776 15712 22586 23552 31424 45172 47104 62848 90344 94208 125696 180688 251392 361376 502784 722752 1005568 1445504 2011136 2891008 5782016 11564032 23128064 46256128